%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD035-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:07 AM UTC 2026
% Result : Unsatisfiable 6.98s 1.92s
% Output : Refutation 6.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 22 unt; 2 def)
% Number of atoms : 260 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 332 ( 163 ~; 169 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f13,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
equalish(multiply(a,c),multiply(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_multiply_4) ).
fof(f32,negated_conjecture,
~ equalish(c,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_equal_to_additive_identity_5) ).
fof(f33,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_b_6) ).
fof(f34,definition,
sF0 = multiply(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f35,plain,
multiply(a,c) = sF0,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF1 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f37,plain,
multiply(b,c) = sF1,
inference(reorient_equations,[],[f36]) ).
fof(f38,plain,
equalish(sF0,sF1),
inference(definition_folding,[],[f31,f37,f35]) ).
fof(f47,plain,
equalish(sF1,sF0),
inference(resolution,[],[f22,f38]) ).
fof(f56,plain,
( equalish(multiply(c,b),sF1)
| ~ defined(c)
| ~ defined(b) ),
inference(superposition,[],[f8,f37]) ).
fof(f57,plain,
( equalish(multiply(c,b),sF1)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f56,f30]) ).
fof(f61,plain,
equalish(multiply(c,b),sF1),
inference(forward_subsumption_resolution,[],[f57,f29]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X0,multiply(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,multiply(multiply(X0,X1),X2)) ),
inference(resolution,[],[f5,f23]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f82,f8]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1)) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f106,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f102,f13]) ).
fof(f118,plain,
! [X0] :
( equalish(multiply(multiply(c,X0),b),multiply(sF1,X0))
| ~ defined(X0)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f106,f37]) ).
fof(f120,plain,
! [X0] :
( equalish(multiply(multiply(c,X0),b),multiply(sF1,X0))
| ~ defined(X0)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f118,f29]) ).
fof(f125,plain,
! [X0] :
( equalish(multiply(multiply(c,X0),b),multiply(sF1,X0))
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f120,f30]) ).
fof(f179,plain,
( ~ defined(c)
| defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f15,f32]) ).
fof(f182,plain,
defined(multiplicative_inverse(c)),
inference(forward_subsumption_resolution,[],[f179,f30]) ).
fof(f230,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f6,f23]) ).
fof(f240,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(resolution,[],[f230,f25]) ).
fof(f245,plain,
! [X0,X1] :
( equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X1,X0))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f245,f23]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X2)
| equalish(multiply(multiply(X1,X2),X0),X2)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f250,f106]) ).
fof(f296,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X1,X2),X0),X2)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X2,X0),X1))
| ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f296,f23]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f318,f106]) ).
fof(f346,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| equalish(X3,X2) ),
inference(resolution,[],[f346,f23]) ).
fof(f423,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ defined(X1)
| ~ defined(a)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,a) ),
inference(superposition,[],[f392,f35]) ).
fof(f424,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF1,X1))
| ~ defined(X1)
| ~ defined(b)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,b) ),
inference(superposition,[],[f392,f37]) ).
fof(f430,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF1,X1))
| ~ defined(X1)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f424,f29]) ).
fof(f431,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ defined(X1)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f423,f28]) ).
fof(f433,plain,
! [X0,X1] :
( ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(X0,multiply(sF1,X1))
| equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f430,f30]) ).
fof(f434,plain,
! [X0,X1] :
( ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(X0,multiply(sF0,X1))
| equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f431,f30]) ).
fof(f581,plain,
! [X0] :
( ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(resolution,[],[f434,f7]) ).
fof(f591,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f581,f15]) ).
fof(f602,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f591,f30]) ).
fof(f603,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f602,f32]) ).
fof(f607,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),a)
| ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,sF0) ),
inference(resolution,[],[f603,f25]) ).
fof(f647,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),a)
| ~ equalish(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f607,f182]) ).
fof(f654,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(c)))
| ~ equalish(X0,sF0)
| equalish(X1,a) ),
inference(resolution,[],[f647,f23]) ).
fof(f664,plain,
( ~ equalish(sF1,sF0)
| equalish(multiply(multiply(c,multiplicative_inverse(c)),b),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f654,f125]) ).
fof(f671,plain,
( equalish(multiply(multiply(c,multiplicative_inverse(c)),b),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f664,f47]) ).
fof(f679,plain,
equalish(multiply(multiply(c,multiplicative_inverse(c)),b),a),
inference(forward_subsumption_resolution,[],[f671,f182]) ).
fof(f682,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(c,multiplicative_inverse(c)),b))
| equalish(X0,a) ),
inference(resolution,[],[f679,f23]) ).
fof(f688,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),b),c),a)
| ~ defined(b)
| ~ defined(c)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f682,f106]) ).
fof(f724,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),b),c),a)
| ~ defined(c)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f688,f29]) ).
fof(f729,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),b),c),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f724,f30]) ).
fof(f740,plain,
equalish(multiply(multiply(multiplicative_inverse(c),b),c),a),
inference(forward_subsumption_resolution,[],[f729,f182]) ).
fof(f792,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(multiplicative_inverse(c),b),c))
| equalish(X0,a) ),
inference(resolution,[],[f740,f23]) ).
fof(f795,plain,
! [X0] :
( equalish(multiply(X0,c),a)
| ~ defined(c)
| ~ equalish(X0,multiply(multiplicative_inverse(c),b)) ),
inference(resolution,[],[f792,f25]) ).
fof(f836,plain,
! [X0] :
( ~ equalish(X0,multiply(multiplicative_inverse(c),b))
| equalish(multiply(X0,c),a) ),
inference(forward_subsumption_resolution,[],[f795,f30]) ).
fof(f846,plain,
( equalish(multiply(multiply(b,multiplicative_inverse(c)),c),a)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f836,f8]) ).
fof(f882,plain,
( equalish(multiply(multiply(b,multiplicative_inverse(c)),c),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f846,f29]) ).
fof(f885,plain,
equalish(multiply(multiply(b,multiplicative_inverse(c)),c),a),
inference(forward_subsumption_resolution,[],[f882,f182]) ).
fof(f886,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(b,multiplicative_inverse(c)),c))
| equalish(X0,a) ),
inference(resolution,[],[f885,f23]) ).
fof(f892,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),c),b),a)
| ~ defined(c)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f886,f106]) ).
fof(f928,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),c),b),a)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f892,f30]) ).
fof(f933,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),c),b),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f928,f29]) ).
fof(f944,plain,
equalish(multiply(multiply(multiplicative_inverse(c),c),b),a),
inference(forward_subsumption_resolution,[],[f933,f182]) ).
fof(f946,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(multiplicative_inverse(c),c),b))
| equalish(X0,a) ),
inference(resolution,[],[f944,f23]) ).
fof(f952,plain,
( equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c))
| ~ defined(c) ),
inference(resolution,[],[f946,f106]) ).
fof(f988,plain,
( equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a)
| ~ defined(multiplicative_inverse(c))
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f952,f29]) ).
fof(f992,plain,
( equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f988,f182]) ).
fof(f994,plain,
equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a),
inference(forward_subsumption_resolution,[],[f992,f30]) ).
fof(f1037,plain,
equalish(a,multiply(multiply(c,b),multiplicative_inverse(c))),
inference(resolution,[],[f994,f22]) ).
fof(f1886,plain,
! [X0] :
( ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(resolution,[],[f433,f7]) ).
fof(f1895,plain,
! [X0] :
( ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f1886,f15]) ).
fof(f1898,plain,
! [X0] :
( ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f1895,f30]) ).
fof(f1899,plain,
! [X0] :
( ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f1898,f32]) ).
fof(f1903,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),b)
| ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f1899,f25]) ).
fof(f1914,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),b)
| ~ equalish(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f1903,f182]) ).
fof(f1922,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(c)))
| ~ equalish(X0,sF1)
| equalish(X1,b) ),
inference(resolution,[],[f1914,f23]) ).
fof(f1944,plain,
( ~ equalish(multiply(c,b),sF1)
| equalish(a,b) ),
inference(resolution,[],[f1922,f1037]) ).
fof(f1947,plain,
equalish(a,b),
inference(forward_subsumption_resolution,[],[f1944,f61]) ).
fof(f1956,plain,
$false,
inference(forward_subsumption_resolution,[],[f1947,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD035-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:38:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.98/1.92 % (908194)Input is clausal, will run a generic CNF schedule.
% 6.98/1.92 % (908205)dis-21_1_sil=8000:lcm=predicate:random_seed=938584401:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.98/1.92 % (908200)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=359729680:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.98/1.92 % (908199)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2798911426:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.98/1.92 % (908201)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2342803669:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.98/1.92 % (908203)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3179134188:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.98/1.92 % (908202)lrs+10_1_sil=8000:sp=occurrence:random_seed=2301984493:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.98/1.92 % (908205)Instruction limit reached!
% 6.98/1.92 % (908205)------------------------------
% 6.98/1.92 % (908205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908205)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908205)Termination reason: Instruction limit
% 6.98/1.92 % (908205)Termination phase: Saturation
% 6.98/1.92 % (908205)Time elapsed: 0.043 s
% 6.98/1.92 % (908205)Peak memory usage: 89 MB
% 6.98/1.92 % (908205)Instructions burned: 118 (million)
% 6.98/1.92 % (908204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3293303007:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.98/1.92 % (908202)Instruction limit reached!
% 6.98/1.92 % (908202)------------------------------
% 6.98/1.92 % (908202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908202)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908202)Termination reason: Instruction limit
% 6.98/1.92 % (908202)Termination phase: Saturation
% 6.98/1.92 % (908202)Time elapsed: 0.068 s
% 6.98/1.92 % (908202)Peak memory usage: 89 MB
% 6.98/1.92 % (908202)Instructions burned: 107 (million)
% 6.98/1.92 % (908203)Instruction limit reached!
% 6.98/1.92 % (908203)------------------------------
% 6.98/1.92 % (908203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908203)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908203)Termination reason: Instruction limit
% 6.98/1.92 % (908203)Termination phase: Saturation
% 6.98/1.92 % (908203)Time elapsed: 0.068 s
% 6.98/1.92 % (908203)Peak memory usage: 88 MB
% 6.98/1.92 % (908203)Instructions burned: 115 (million)
% 6.98/1.92 % (908212)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2227242515:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.98/1.92 % (908204)Instruction limit reached!
% 6.98/1.92 % (908204)------------------------------
% 6.98/1.92 % (908204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908204)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908204)Termination reason: Instruction limit
% 6.98/1.92 % (908204)Termination phase: Saturation
% 6.98/1.92 % (908204)Time elapsed: 0.119 s
% 6.98/1.92 % (908204)Peak memory usage: 90 MB
% 6.98/1.92 % (908204)Instructions burned: 180 (million)
% 6.98/1.92 % (908212)Instruction limit reached!
% 6.98/1.92 % (908212)------------------------------
% 6.98/1.92 % (908212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908212)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908212)Termination reason: Instruction limit
% 6.98/1.92 % (908212)Termination phase: Saturation
% 6.98/1.92 % (908212)Time elapsed: 0.046 s
% 6.98/1.92 % (908212)Peak memory usage: 89 MB
% 6.98/1.92 % (908212)Instructions burned: 145 (million)
% 6.98/1.92 % (908214)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1219529623:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.98/1.92 % (908215)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3275804870:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.98/1.92 % (908218)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2051348104:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.98/1.92 % (908217)lrs+10_64_to=lpo:sil=8000:random_seed=515917486:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.98/1.92 % (908214)Instruction limit reached!
% 6.98/1.92 % (908214)------------------------------
% 6.98/1.92 % (908214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908214)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908214)Termination reason: Instruction limit
% 6.98/1.92 % (908214)Termination phase: Saturation
% 6.98/1.92 % (908214)Time elapsed: 0.096 s
% 6.98/1.92 % (908214)Peak memory usage: 94 MB
% 6.98/1.92 % (908214)Instructions burned: 189 (million)
% 6.98/1.92 % (908218)Instruction limit reached!
% 6.98/1.92 % (908218)------------------------------
% 6.98/1.92 % (908218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908218)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908218)Termination reason: Instruction limit
% 6.98/1.92 % (908218)Termination phase: Saturation
% 6.98/1.92 % (908218)Time elapsed: 0.066 s
% 6.98/1.92 % (908218)Peak memory usage: 90 MB
% 6.98/1.92 % (908218)Instructions burned: 195 (million)
% 6.98/1.92 % (908217)Instruction limit reached!
% 6.98/1.92 % (908217)------------------------------
% 6.98/1.92 % (908217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908217)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908217)Termination reason: Instruction limit
% 6.98/1.92 % (908217)Termination phase: Saturation
% 6.98/1.92 % (908217)Time elapsed: 0.076 s
% 6.98/1.92 % (908217)Peak memory usage: 89 MB
% 6.98/1.92 % (908217)Instructions burned: 126 (million)
% 6.98/1.92 % (908215)Instruction limit reached!
% 6.98/1.92 % (908215)------------------------------
% 6.98/1.92 % (908215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908215)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908215)Termination reason: Instruction limit
% 6.98/1.92 % (908215)Termination phase: Saturation
% 6.98/1.92 % (908215)Time elapsed: 0.140 s
% 6.98/1.92 % (908215)Peak memory usage: 89 MB
% 6.98/1.92 % (908215)Instructions burned: 219 (million)
% 6.98/1.92 % (908224)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2714498372:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.98/1.92 % (908223)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=480096127:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.98/1.92 % (908225)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3998654814:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.98/1.92 % (908226)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3534412614:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.98/1.92 % (908225)Instruction limit reached!
% 6.98/1.92 % (908225)------------------------------
% 6.98/1.92 % (908225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908225)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908225)Termination reason: Instruction limit
% 6.98/1.92 % (908225)Termination phase: Saturation
% 6.98/1.92 % (908225)Time elapsed: 0.053 s
% 6.98/1.92 % (908225)Peak memory usage: 89 MB
% 6.98/1.92 % (908225)Instructions burned: 107 (million)
% 6.98/1.92 % (908226)Instruction limit reached!
% 6.98/1.92 % (908226)------------------------------
% 6.98/1.92 % (908226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908226)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908226)Termination reason: Instruction limit
% 6.98/1.92 % (908226)Termination phase: Saturation
% 6.98/1.92 % (908226)Time elapsed: 0.061 s
% 6.98/1.92 % (908226)Peak memory usage: 88 MB
% 6.98/1.92 % (908226)Instructions burned: 108 (million)
% 6.98/1.92 % (908223)Instruction limit reached!
% 6.98/1.92 % (908223)------------------------------
% 6.98/1.92 % (908223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908223)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908223)Termination reason: Instruction limit
% 6.98/1.92 % (908223)Termination phase: Saturation
% 6.98/1.92 % (908223)Time elapsed: 0.114 s
% 6.98/1.92 % (908223)Peak memory usage: 91 MB
% 6.98/1.92 % (908223)Instructions burned: 158 (million)
% 6.98/1.92 % (908231)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=314963730:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.98/1.92 % (908232)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=658517405:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.98/1.92 % (908233)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2651780173:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.98/1.92 % (908199)First to succeed.
% 6.98/1.92 % (908199)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-908194"
% 6.98/1.92 % (908233)Instruction limit reached!
% 6.98/1.92 % (908233)------------------------------
% 6.98/1.92 % (908233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908233)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908233)Termination reason: Instruction limit
% 6.98/1.92 % (908233)Termination phase: Saturation
% 6.98/1.92 % (908233)Time elapsed: 0.084 s
% 6.98/1.92 % (908233)Peak memory usage: 89 MB
% 6.98/1.92 % (908233)Instructions burned: 134 (million)
% 6.98/1.92 % (908224)Also succeeded, but the first one will report.
% 6.98/1.92 % (908231)Instruction limit reached!
% 6.98/1.92 % (908231)------------------------------
% 6.98/1.92 % (908231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.92 % (908231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.92 % (908231)CaDiCaL version: 2.1.3
% 6.98/1.92 % (908231)Termination reason: Instruction limit
% 6.98/1.92 % (908231)Termination phase: Saturation
% 6.98/1.92 % (908231)Time elapsed: 0.165 s
% 6.98/1.92 % (908231)Peak memory usage: 89 MB
% 6.98/1.92 % (908231)Instructions burned: 243 (million)
% 6.98/1.92 % (908237)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=727277515:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 6.98/1.92 % (908238)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3683012189:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 6.98/1.92 % (908199)Refutation found. Thanks to Tanya!
% 6.98/1.92 % SZS status Unsatisfiable for theBenchmark
% 6.98/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 6.98/2.02 % (908199)------------------------------
% 6.98/2.02 % (908199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (908199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (908199)CaDiCaL version: 2.1.3
% 6.98/2.02 % (908199)Termination reason: Refutation
% 6.98/2.02 % (908199)Time elapsed: 0.808 s
% 6.98/2.02 % (908199)Peak memory usage: 128 MB
% 6.98/2.02 % (908199)Instructions burned: 1196 (million)
% 6.98/2.02 % (908199)------------------------------
% 6.98/2.02 % (908199)------------------------------
% 6.98/2.02 % (908194)Success in time 1.244 s
% 6.98/2.02 % Vampire exiting
%------------------------------------------------------------------------------